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portada Pillars of Transcendental Number Theory
Type
Physical Book
Publisher
Year
2021
Language
English
Pages
174
Format
Paperback
Dimensions
23.4 x 15.6 x 1.0 cm
Weight
0.28 kg.
ISBN13
9789811541575
Edition No.
1

Pillars of Transcendental Number Theory

Saradha Natarajan (Author) · Ravindranathan Thangadurai (Author) · Springer · Paperback

Pillars of Transcendental Number Theory - Natarajan, Saradha ; Thangadurai, Ravindranathan

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Synopsis "Pillars of Transcendental Number Theory"

This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite-Lindemann-Weierstrass theorem, Gelfond-Schneider theorem, Schmidt's subspace theorem and more. It also includes two theorems of Ramachandra which are not widely known and other interesting results derived on the values of Weierstrass elliptic function. Given the constantly growing number of applications of linear forms in logarithms, it is becoming increasingly important for any student wanting to work in this area to know the proofs of Baker's original results. This book presents Baker's original results in a format suitable for graduate students, with a focus on presenting the content in an accessible and simple manner. Each student-friendly chapter concludes with selected problems in the form of "Exercises" and interesting information presented as "Notes," intended to spark readers' curiosity.

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